A New High-Order Stable Numerical Method for Matrix Inversion

الملخص EN

A stable numerical method is proposed for matrix inversion.

The new method is accompanied by theoretical proof to illustrate twelfth-order convergence.

A discussion of how to achieve the convergence using an appropriate initial value is presented.

The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically.

The efficiency of the contributed iterative method is clarified on solving some numerical examples.